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Finding the Third Proportional to 692,347.50 and 1,454,672.25

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Solution

The third proportional to 692,347.50 and 1,454,672.25 is: 3,056,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,347.50 : 1,454,672.25 = 1,454,672.25 : x
  2. Step 2: Convert to fraction form
    692,347.50/1,454,672.25 = 1,454,672.25/x
  3. Step 3: Cross multiply
    692,347.50x = 1,454,672.25 × 1,454,672.25
  4. Step 4: Simplify right side
    692,347.50x = 2,116,071,354,920.06
  5. Step 5: Solve for x
    x = 2,116,071,354,920.06/692,347.50
  6. Step 6: Final answer
    x = 3,056,371.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.